Blow-up solutions to nonlinear Schrödinger system at multiple points
From MaRDI portal
Publication:667758
DOI10.1007/s00033-018-1065-zzbMath1407.35189OpenAlexW2904819983MaRDI QIDQ667758
Publication date: 1 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-1065-z
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system, On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- On the blowup phenomenon for \(N\)-coupled focusing Schrödinger system in \(\mathbb{R}^{d} (d \geq 3)\)
- \(L^2\)-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Multipulse phases in k-mixtures of Bose-Einstein condensates
- Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
- Type II blow-up for the four dimensional energy critical semi linear heat equation
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Energy convexity estimates for non-degenerate ground states of nonlinear 1D Schrödinger systems
- Bound and ground states of coupled nonlinear Schrödinger equations
- Uniqueness of minimal blow-up solutions to nonlinear Schrödinger system
- Nondispersive solutions to the \(L ^{2}\)-critical half-wave equation
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Orbital Stability Property for Coupled Nonlinear Schrödinger Equations
- Ground States and Bound States of a Nonlinear Schrödinger System
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities
- Existence and uniqueness of positive solutions of nonlinear Schrödinger systems
- Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
- Global existence for a coupled system of Schrödinger equations with power-type nonlinearities
- Multi-speed solitary wave solutions for nonlinear Schrödinger systems
